The principal at a school recorded the color and make of all vehicles in the student parking lot. From the data, the following probability model was created about the colors of the vehicles.
A 2-column table with 4 rows. Column 1 is labeled outcome with entries red, black, white, other. Column 2 is labeled probability with entries 0.28, 0.30, 0.22, 0.20.
Which pairs of events about a vehicle are mutually exclusive? Check all that apply.
The events red and black
The events white and two door
The events white and other
The events black and truck
The events red and other
Answer:
1, 3, 5
Step-by-step explanation:
EDG 2020-2021 Stats
The events ,The events red and black ,The events white and other, The events red and other are mutually exclusive.
What is probability?The probability is defined as the chances of happening any event. Mutually exclusive events are those in which the one event is independent of the other event.
The condition for the mutually exclusive event will be:
[tex]P(A|B)=\dfrac{P(A) \ and P(B)}{P(A)}=P(A)[/tex]
We have the data
red, 0.28
black, 0.30
white, 0.22
other 0.20
Here we will check the mutually exclusive event:-
(1)The events red and black
[tex]P(R|B)=\dfrac{P(R\ and\ B)}{P(B)}[/tex]
[tex]P(R|B)=\dfrac{0.28\times 0.30}{0.30}=0.28 =P(R)[/tex]
Hence the event is exclusive.
(2)The events white and other
[tex]P(W|O)=\dfrac{P(W\ and\ O)}{P(O)}=P(W)[/tex]
[tex]P(W|O)=\dfrac{ 0.22\times 0.20}{0.20}=0.22=P(W)[/tex]
Hence the event is exclusive.
(3) The events red and other
[tex]P(R|O)=\dfrac{P(R\ and\ O)}{P(O)}=P(R)[/tex]
[tex]P(R|O)=\dfrac{ 0.28\times 0.20}{0.20}=0.28=P(R)[/tex]
Hence the event is exclusive.
Hence the events ,The events red and black ,The events white and other, The events red and other are mutually exclusive.
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5 tenths - 2 tenths = 3 tenths in standard form
Answer:
5×10-2×10=3×10
50-20=30i think
Choose the correct simplification of (7x^3 – 4x - 8) + (2x^3 + 3x + 2).
Answer:
9[tex]x^{3}[/tex]-x-6
Step-by-step explanation:
Answer:
=9x3−x−6
Step-by-step explanation:
7x3−4x−8+2x3+3x+2
Please hurry; The number of bacteria in a culture grows exponentially. It can be modeled with the function f(x) = 20 (2^x).
How many more bacteria will there be after six hours?
a 12
b 32
c 960
d 1280
Answer:
D.
Step-by-step explanation:
20(2^6) = 1280
If a number is decreased by 8, the result is -21. What is the
number?
Need solution and equation !!
Answer:
answer = -13
Step-by-step explanation:
number = x
x - 8 = -21
x = -21 + 8
= -13
Recheck :
num = - 13
decreased by 8 = - 13 -8 = -21
14) What is the vertex form y = 3x2 - 12x + 17?
A) y = 3(x - 2)2 +5
B) y = 3(x - 2)2 + 17
C) y = 3(x - 2)2 + 11
D) y = 3(x + 2)2 + 5
I
Answer:
the vertex is 14yx
Step-by-step explanation:
Plz I need help this is due at 7:10
Answer:
8units²
Step-by-step explanation:
Area of the trapezoid = 1/2(a+b)h
a and b are the opposite sides
h is the height
Take a square as 1 unit
a = 1 unit
b = 3 units
height h = 4 units
Substitute
A = 1/2(1+3)*4
A = 1/2 * 4 * 4
A = 16/2
A = 8units²
Hence the area of the trapezoid is 8units²
What is the x-coordinate of the point where the lines x=4y−8 and 12x+y=11 intersect?
I like to work with the slope-intercept form of the line:
x=4y-8 �> y = (1/4)x + 2 (1)
12x+y=11 �> y = -12x + 11 (2)
At the point where they intersect the two y values must be equal, so set eq(1) = eq(2):
(1/4)x + 2 = -12x + 11
( (1/4) + (48/4))x = 9
(49/4)x = 9
Ans: x = 36/49
Check: Plug in x=36/49 to eq(1) and eq(2) to make sure they produce identical y values:
(1) y = (1/4)(36/49) + 2 = (9/49) + (98/49) = 107/49
(2) y = -12(36/49) + 11 = (-432/49) + (539/49) = 107/49 (they match)
By using substitution method,
The x-coordinate of the point where the lines x=4y−8 and 12x+y=11 intersect is [tex]\frac{36}{49}[/tex].
What is substitution method?"The substitution method is one of the algebraic methods to solve linear equations. It involves substituting the value of any one of the variables from one equation to the other equation."
We have the lines
x=4y−8 ..........................(1)
12x+y=11 .........................(2)
By using substitution method
Substitute x = 4y - 8 in equation (2)
⇒ 12(4y-8) + y = 11
⇒ 48y - 96 + y = 11
⇒ 49y = 11 + 96
⇒ y = [tex]\frac{107}{49}[/tex]
Calculating the x - coordinate by substituting y value in equation (1)
x=4y−8
⇒ x = [tex]4(\frac{107}{49} )-8[/tex]
⇒ x = [tex]\frac{428-392}{49}[/tex]
⇒ x = [tex]\frac{36}{49}[/tex]
Hence, the x-coordinate of the point where the lines x=4y−8 and 12x+y=11 intersect is [tex]\frac{36}{49}[/tex].
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Which statement explains the relationship between corresponding terms in the table?
Answer:
Each term in Pattern X is 1/3 of the corresponding term in Pattern Y.
Step-by-step explanation:
I got it right:D
Hence in corresponding figure option b is correct.
What is series?a series is sequence in which numbers are arranged which follow a particular pattern.
How to solve?Given table where x1-5 with corresponding value 15= 3x ,
x2-10 with corresponding value 3- =3x
and so on
Hence we can say every value of x is 1/3 times to corresponding value of y
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If q is a rational number and r is a real number,
then q + r is
Answer:
(D)
Step-by-step explanation:
~a rational number....I hope it helps
EASY ANSWER PLEASE WANT BRAINLEIST SURE JUST ANSWER!
Answer:
can i have brainliest i answered in the question spot
Step-by-step explanation
Explain answer !
( Will give brainlst)
In art class,Oren class or make flowers out of button or has 16 buttons and he uses 6 buttons to make each flower he makes as many flowers as he can.how many flowers does Oren make?how many buttons are left?
Answer:
2 with 4 left over
Step-by-step explanation:
Use distributive property to solve the problem
3 (9 - 10a) - 3a
Answer:
27- 1 = 26
Step-by-step explanation:
A submarine descended 3/4 of a kilometer in 1/4 of an hour. What was the submarine's rate of descent?
what wasbthe high temperature bon the 6th day of the trip
Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile
costs $2.05 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest
cent.
Sal will pay $1
to tile his entryway.
Answer: 89.18
Explanation:none your welcome
Pleaseeeeeeeee answer if you do your the best at life!!!!!
x+(-8)= -12
x-8= -12
x= -12+8
x=-4
-3 + x = 10
x=10+3
x=13
-2+x= -5
x=-5+2
x=-3
Answer:
x+(-8)= -12
x-8= -12
x= -12+8
x=-4
-3 + x = 10
x=10+3
x=13
-2+x= -5
x=-5+2
x=-3
Step-by-step explanation:
Sarah has two quarters in her pocket, one from Florida and one from Georgia. She randomly pulls one quarter from her pocket, looks at it, and puts it back. Then she does this a second time. What is the probability that Sarah will select the Florida state quarter both times?
Answer:
50%.
Step-by-step explanation:
there are two quarters.
1 1
quarter quarter
she has an equal chance of pulling out either of them, because (quote) it's random.
50/50
Last year, there were 217 pies baked for the bake sale. This year, there were d pies baked. Using d, write an expression for the total number of pies
baked in the two years.
Questions are in the picture need ASAP 14 points :)
Answer:
x = k + 7
x = k + 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
If we are solving for x here are the answers;
x=k+7
x=k+3
If we are solving for k here are the answers;
k=x-7
k=x+3
HELP ASAP!!! Identify the interior angles and explain how you know. THANKS!!
Answer:
interior angles are /_3,/_4,/_5 and /_6
Pls help extra points and mark brainlist
Answer:
(12)3=36
Step-by-step explanation:
i don't know.. I think this is what the question is trying to say XD
Answer:
(12)3=36
Step-by-step explanation:
In which region are the patient counts most similiar
Find the value of x.
A. 2
B. 12
C. 10
D. 4
Answer:
c
Step-by-step explanation:
because the total has to be 180 so if u has 30 then u need 150 to make 180
Answer:
c maybe
Step-by-step explanation:
This table shows the number of marbles in a bag by color. If one marble is randomly selected from the bag, what is the
probability that it will be a blue or a red marble?
Answer:
I would say it would be in the middle
Step-by-step explanation:
Answer: the answer would be 52% :)
Step-by-step explanation:
Evaluate the following expression. Round to the nearest hundredth when necessary.
6³ - 18
Answer:
198
Step-by-step explanation:
Because 6 to the power of three is 6 x 6 x 6 = 216 - 18 = 198
This recipe makes 18 shortbread fingers.
Rose follows this recipe, but only wants to make 3 fingers.
How much of each ingredient does she need?
Recipe: Makes 18
120 g butter
60 g sugar
180 g flour
(I don't know if this is the method you are supposed to use, but I believe you will still get the same answer!)
Answer: 20 g butter, 10 g sugar, 30 g flour
Step-by-step explanation: First off, if we look at 3 and 18, you notice that three is a factor or 18, going into the number 6 times.
So, if you are making 6 times less of the original amount, divide each measurement by six to give you your answer.
120/6 = 20
60/6 = 10
180/6 = 30
If the coordinates of a pre-image are (x, y), which motion rule represents a counterclockwise rotation of 90° about the origin?
Answer:
What is the angle of rotation for this counterclockwise rotation about the origin?
answer:
270°
Step-by-step explanation:
you need 1661.06 ft squared of carpet to completely cover the floor or a round room. what is the diameter of the room.
Answer:
46 ft
Step-by-step explanation:
A = π×d²/4
d² = √4×A /π
= √4×1611.06 / 3.14
=√ 2116
= 46 ft
Answer:
46 feet squared
Step-by-step explanation:
A = π×d²/4
d² = √(4×A /π)
= √(4×1611.06 / 3.14)
= 2116
= 46 ft squared